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10122111220101 = 31031091321227501
BaseRepresentation
bin1001001101001011110011…
…0101111111100110000101
31022211122221100000221211220
42103102330311333212011
52311320040433020401
633310011140150553
72063204231524326
oct223227465774605
938748840027756
1010122111220101
1132528439a0041
121175896698459
1358568485b74a
1426dcaca0244d
1512847542a336
hex934bcd7f985

10122111220101 has 32 divisors (see below), whose sum is σ = 13762669789440. Its totient is φ = 6616209600000.

The previous prime is 10122111220043. The next prime is 10122111220141. The reversal of 10122111220101 is 10102211122101.

It is a happy number.

It is not a de Polignac number, because 10122111220101 - 29 = 10122111219589 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122111220141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44378851 + ... + 44606351.

It is an arithmetic number, because the mean of its divisors is an integer number (430083430920).

Almost surely, 210122111220101 is an apocalyptic number.

It is an amenable number.

10122111220101 is a deficient number, since it is larger than the sum of its proper divisors (3640558569339).

10122111220101 is a wasteful number, since it uses less digits than its factorization.

10122111220101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229037.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 10122111220101 its reverse (10102211122101), we get a palindrome (20224322342202).

The spelling of 10122111220101 in words is "ten trillion, one hundred twenty-two billion, one hundred eleven million, two hundred twenty thousand, one hundred one".

Divisors: 1 3 103 109 309 327 1321 3963 11227 33681 136063 143989 227501 408189 431967 682503 14830867 23432603 24797609 44492601 70297809 74392827 300528821 901586463 2554153727 7662461181 30954468563 32757641489 92863405689 98272924467 3374037073367 10122111220101