101020112211000 has 256 divisors, whose sum is σ = 323723785282560. Its totient is φ = 26208795225600.

The previous prime is 101020112210947. The next prime is 101020112211041. The reversal of 101020112211000 is 112211020101.

It is a super-2 number, since 2×101020112211000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 2426772187 + ... + 2426813813.

It is an arithmetic number, because the mean of its divisors is an integer number (1264546036260).

Almost surely, 2^{101020112211000} is an apocalyptic number.

101020112211000 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 101020112211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161861892641280).

101020112211000 is an abundant number, since it is smaller than the sum of its proper divisors (222703673071560).

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

101020112211000 is a wasteful number, since it uses less digits than its factorization.

101020112211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63551 (or 63537 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101020112211000 its reverse (112211020101), we get a palindrome (101132323231101).

The spelling of 101020112211000 in words is "one hundred one trillion, twenty billion, one hundred twelve million, two hundred eleven thousand".