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102111021101021 = 41477910125725841
BaseRepresentation
bin10111001101111010010011…
…001000111110111111011101
3111101112201101121221122220012
4113031322103020332333131
5101340441332400213041
61001101053331133005
730336164202344552
oct2715722310767735
9441481347848805
10102111021101021
112a59904a423409
12b551972444165
1344c90495c19aa
141b302b2326a29
15bc121e3433eb
hex5cde9323efdd

102111021101021 has 64 divisors (see below), whose sum is σ = 109679765852160. Its totient is φ = 94939054080000.

The previous prime is 102111021100951. The next prime is 102111021101039. The reversal of 102111021101021 is 120101120111201.

It is a cyclic number.

It is not a de Polignac number, because 102111021101021 - 214 = 102111021084637 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102111021100987 and 102111021101005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102111021101081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3951499061 + ... + 3951524901.

It is an arithmetic number, because the mean of its divisors is an integer number (1713746341440).

Almost surely, 2102111021101021 is an apocalyptic number.

It is an amenable number.

102111021101021 is a deficient number, since it is larger than the sum of its proper divisors (7568744751139).

102111021101021 is a wasteful number, since it uses less digits than its factorization.

102111021101021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26366.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 102111021101021 its reverse (120101120111201), we get a palindrome (222212141212222).

The spelling of 102111021101021 in words is "one hundred two trillion, one hundred eleven billion, twenty-one million, one hundred one thousand, twenty-one".

Divisors: 1 41 47 79 101 257 1927 3239 3713 4141 4747 7979 10537 12079 20303 25841 25957 152233 194627 327139 375013 495239 832423 954241 1059481 1064237 1214527 1219979 2041439 2050603 2609941 6641137 15375533 39123881 49795607 50019139 83698999 84074723 95947633 96378341 107007581 122667227 206185339 272286617 312133439 524649823 670754837 3933852953 3951511981 5029356307 8453598899 9690710933 12797470999 21510642743 24658541681 27500948317 31525477339 52989632123 397319148253 1011000208921 1292544570899 2172574917043 2490512709781 102111021101021