102100122001010 has 128 divisors (see below), whose sum is σ = 215826628308480. Its totient is φ = 34052908032000.

The previous prime is 102100122000997. The next prime is 102100122001019. The reversal of 102100122001010 is 10100221001201.

It is a super-2 number, since 2×102100122001010² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102100122000982 and 102100122001000.

It is not an unprimeable number, because it can be changed into a prime (102100122001019) 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, 3966426740 + ... + 3966452480.

It is an arithmetic number, because the mean of its divisors is an integer number (1686145533660).

Almost surely, 2^{102100122001010} is an apocalyptic number.

102100122001010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102100122001010 is an abundant number, since it is smaller than the sum of its proper divisors (113726506307470).

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

102100122001010 is a wasteful number, since it uses less digits than its factorization.

102100122001010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35812.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 102100122001010 its reverse (10100221001201), we get a palindrome (112200343002211).

The spelling of 102100122001010 in words is "one hundred two trillion, one hundred billion, one hundred twenty-two million, one thousand, ten".