101010100010010 has 32 divisors (see below), whose sum is σ = 246533125452480. Its totient is φ = 26479483843968.

The previous prime is 101010100009979. The next prime is 101010100010041. The reversal of 101010100010010 is 10010001010101.

It is an interprime number because it is at equal distance from previous prime (101010100009979) and next prime (101010100010041).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28533924787 + ... + 28533928326.

It is an arithmetic number, because the mean of its divisors is an integer number (7704160170390).

Almost surely, 2^{101010100010010} is an apocalyptic number.

101010100010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101010100010010 is an abundant number, since it is smaller than the sum of its proper divisors (145523025442470).

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

101010100010010 is a wasteful number, since it uses less digits than its factorization.

101010100010010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57067853182.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 101010100010010 its reverse (10010001010101), we get a palindrome (111020101020111).

The spelling of 101010100010010 in words is "one hundred one trillion, ten billion, one hundred million, ten thousand, ten".