101102000212000 has 192 divisors, whose sum is σ = 249611246093664. Its totient is φ = 40245040742400.

The previous prime is 101102000211959. The next prime is 101102000212039. The reversal of 101102000212000 is 212000201101.

It can be written as a sum of positive squares in 16 ways, for example, as 32475819947536 + 68626180264464 = 5698756^2 + 8284092^2 .

It is a super-2 number, since 2×101102000212000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1745607042 + ... + 1745664958.

Almost surely, 2^{101102000212000} is an apocalyptic number.

101102000212000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101102000212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124805623046832).

101102000212000 is an abundant number, since it is smaller than the sum of its proper divisors (148509245881664).

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

101102000212000 is a wasteful number, since it uses less digits than its factorization.

101102000212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60048 (or 60030 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101102000212000 its reverse (212000201101), we get a palindrome (101314000413101).

The spelling of 101102000212000 in words is "one hundred one trillion, one hundred two billion, two hundred twelve thousand".