101022012111020 has 384 divisors, whose sum is σ = 287183060140032. Its totient is φ = 28826316288000.

The previous prime is 101022012110977. The next prime is 101022012111049. The reversal of 101022012111020 is 20111210220101.

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

It is a junction number, because it is equal to n+sod(n) for n = 101022012110986 and 101022012111004.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10203208070 + ... + 10203217970.

It is an arithmetic number, because the mean of its divisors is an integer number (747872552448).

Almost surely, 2^{101022012111020} is an apocalyptic number.

101022012111020 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 101022012111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143591530070016).

101022012111020 is an abundant number, since it is smaller than the sum of its proper divisors (186161048029012).

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

101022012111020 is a wasteful number, since it uses less digits than its factorization.

101022012111020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14081 (or 14079 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101022012111020 its reverse (20111210220101), we get a palindrome (121133222331121).

The spelling of 101022012111020 in words is "one hundred one trillion, twenty-two billion, twelve million, one hundred eleven thousand, twenty".