101002113212 has 192 divisors, whose sum is σ = 240637824000. Its totient is φ = 35820472320.

The previous prime is 101002113137. The next prime is 101002113241. The reversal of 101002113212 is 212311200101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

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, 96283664 + ... + 96284712.

It is an arithmetic number, because the mean of its divisors is an integer number (1253322000).

Almost surely, 2^101002113212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101002113212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120318912000).

101002113212 is an abundant number, since it is smaller than the sum of its proper divisors (139635710788).

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

101002113212 is a wasteful number, since it uses less digits than its factorization.

101002113212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1396 (or 1394 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 101002113212 its reverse (212311200101), we get a palindrome (313313313313).

The spelling of 101002113212 in words is "one hundred one billion, two million, one hundred thirteen thousand, two hundred twelve".