101021200111020 has 192 divisors, whose sum is σ = 330796605275136. Its totient is φ = 22552826526720.

The previous prime is 101021200110979. The next prime is 101021200111033. The reversal of 101021200111020 is 20111002120101.

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

It is a junction number, because it is equal to n+sod(n) for n = 101021200110987 and 101021200111005.

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, 690920562 + ... + 691066758.

It is an arithmetic number, because the mean of its divisors is an integer number (1722898985808).

Almost surely, 2^{101021200111020} is an apocalyptic number.

101021200111020 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 101021200111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165398302637568).

101021200111020 is an abundant number, since it is smaller than the sum of its proper divisors (229775405164116).

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

101021200111020 is a wasteful number, since it uses less digits than its factorization.

101021200111020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184520 (or 184518 counting only the distinct ones).

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

Adding to 101021200111020 its reverse (20111002120101), we get a palindrome (121132202231121).

The spelling of 101021200111020 in words is "one hundred one trillion, twenty-one billion, two hundred million, one hundred eleven thousand, twenty".