102100100201010 has 320 divisors, whose sum is σ = 278434121898240. Its totient is φ = 26842017945600.

The previous prime is 102100100200993. The next prime is 102100100201053. The reversal of 102100100201010 is 10102001001201.

It is a happy number.

It is a super-2 number, since 2×102100100201010² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 102100100200983 and 102100100201001.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 56690782110 + ... + 56690783910.

It is an arithmetic number, because the mean of its divisors is an integer number (870106630932).

Almost surely, 2^{102100100201010} is an apocalyptic number.

102100100201010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102100100201010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139217060949120).

102100100201010 is an abundant number, since it is smaller than the sum of its proper divisors (176334021697230).

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

102100100201010 is a wasteful number, since it uses less digits than its factorization.

102100100201010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3775 (or 3766 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 102100100201010 its reverse (10102001001201), we get a palindrome (112202101202211).

The spelling of 102100100201010 in words is "one hundred two trillion, one hundred billion, one hundred million, two hundred one thousand, ten".