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102020022021012 = 2232967233158311863
BaseRepresentation
bin10111001100100101100011…
…001011000010101110010100
3111101020000111202010102122120
4113030211203023002232110
5101332444001114133022
61000551203501055540
730326463152051364
oct2714454313025624
9441200452112576
10102020022021012
112a5634a2857767
12b5381b6b575b0
1344c05a67c5214
141b29b1c87a9a4
15bbdb95417d5c
hex5cc9632c2b94

102020022021012 has 192 divisors, whose sum is σ = 251183074222080. Its totient is φ = 32182097181696.

The previous prime is 102020022021011. The next prime is 102020022021013. The reversal of 102020022021012 is 210120220020201.

It is an interprime number because it is at equal distance from previous prime (102020022021011) and next prime (102020022021013).

It is a junction number, because it is equal to n+sod(n) for n = 102020022020982 and 102020022021000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102020022021011) 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, 8599844193 + ... + 8599856055.

It is an arithmetic number, because the mean of its divisors is an integer number (1308245178240).

Almost surely, 2102020022021012 is an apocalyptic number.

102020022021012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102020022021012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125591537111040).

102020022021012 is an abundant number, since it is smaller than the sum of its proper divisors (149163052201068).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102020022021012 is a wasteful number, since it uses less digits than its factorization.

102020022021012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13782 (or 13780 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102020022021012 its reverse (210120220020201), we get a palindrome (312140242041213).

The spelling of 102020022021012 in words is "one hundred two trillion, twenty billion, twenty-two million, twenty-one thousand, twelve".