101102010100002 has 24 divisors (see below), whose sum is σ = 231939905524236. Its totient is φ = 31718277678336.

The previous prime is 101102010100001. The next prime is 101102010100033. The reversal of 101102010100002 is 200001010201101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 95017050933561 + 6084959166441 = 9747669^2 + 2466771^2 .

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

It is not an unprimeable number, because it can be changed into a prime (101102010100001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 165199362603 + ... + 165199363214.

Almost surely, 2^{101102010100002} is an apocalyptic number.

101102010100002 is an abundant number, since it is smaller than the sum of its proper divisors (130837895424234).

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

101102010100002 is a wasteful number, since it uses less digits than its factorization.

101102010100002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330398725842 (or 330398725839 counting only the distinct ones).

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

Adding to 101102010100002 its reverse (200001010201101), we get a palindrome (301103020301103).

The spelling of 101102010100002 in words is "one hundred one trillion, one hundred two billion, ten million, one hundred thousand, two".