101211021000 has 192 divisors, whose sum is σ = 351340170480. Its totient is φ = 26260070400.

The previous prime is 101211020983. The next prime is 101211021001. The reversal of 101211021000 is 120112101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 28915642116 + 72295378884 = 170046^2 + 268878^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (101211021001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 181032 + ... + 484968.

Almost surely, 2^101211021000 is an apocalyptic number.

101211021000 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 101211021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175670085240).

101211021000 is an abundant number, since it is smaller than the sum of its proper divisors (250129149480).

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

101211021000 is a wasteful number, since it uses less digits than its factorization.

101211021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304001 (or 303984 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101211021000 its reverse (120112101), we get a palindrome (101331133101).

The spelling of 101211021000 in words is "one hundred one billion, two hundred eleven million, twenty-one thousand".