101012012102 has 32 divisors (see below), whose sum is σ = 154109088000. Its totient is φ = 49649038560.

The previous prime is 101012012077. The next prime is 101012012107. The reversal of 101012012102 is 201210210101.

It is a super-4 number, since 4×101012012102⁴ (a number of 45 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101012012107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33680399 + ... + 33683397.

It is an arithmetic number, because the mean of its divisors is an integer number (4815909000).

Almost surely, 2^101012012102 is an apocalyptic number.

101012012102 is a deficient number, since it is larger than the sum of its proper divisors (53097075898).

101012012102 is a wasteful number, since it uses less digits than its factorization.

101012012102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4028.

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

Adding to 101012012102 its reverse (201210210101), we get a palindrome (302222222203).

It can be divided in two parts, 10101 and 2012102, that multiplied together give a palindrome (20324242302).

The spelling of 101012012102 in words is "one hundred one billion, twelve million, twelve thousand, one hundred two".