102011120101002 has 128 divisors (see below), whose sum is σ = 238373207654400. Its totient is φ = 29091373335360.

The previous prime is 102011120100973. The next prime is 102011120101031. The reversal of 102011120101002 is 200101021110201.

It is an interprime number because it is at equal distance from previous prime (102011120100973) and next prime (102011120101031).

It is a super-2 number, since 2×102011120101002² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8778164752 + ... + 8778176372.

It is an arithmetic number, because the mean of its divisors is an integer number (1862290684800).

Almost surely, 2^{102011120101002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102011120101002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119186603827200).

102011120101002 is an abundant number, since it is smaller than the sum of its proper divisors (136362087553398).

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

102011120101002 is a wasteful number, since it uses less digits than its factorization.

102011120101002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19281 (or 19267 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102011120101002 its reverse (200101021110201), we get a palindrome (302112141211203).

The spelling of 102011120101002 in words is "one hundred two trillion, eleven billion, one hundred twenty million, one hundred one thousand, two".