101215520142 has 192 divisors, whose sum is σ = 240902206272. Its totient is φ = 28223078400.

The previous prime is 101215520117. The next prime is 101215520167. The reversal of 101215520142 is 241025512101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101215520117) and next prime (101215520167).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 175416558 + ... + 175417134.

It is an arithmetic number, because the mean of its divisors is an integer number (1254698991).

Almost surely, 2^101215520142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101215520142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120451103136).

101215520142 is an abundant number, since it is smaller than the sum of its proper divisors (139686686130).

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

101215520142 is a wasteful number, since it uses less digits than its factorization.

101215520142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The spelling of 101215520142 in words is "one hundred one billion, two hundred fifteen million, five hundred twenty thousand, one hundred forty-two".